SAT= 40*ACT+150
Find equivalent SAT scores 5 number summary
ACT SAT
min-19 910
Mean-27 1230
SD- 3 120?
Q3- 30 1350
Median-28 1128
IQR=6 240?
Why do I not also add the 150 to the standard deviation and the IQR. Is that because when you shift data the spread does not change only when you rescale? Please explain?